Given the probability density function f(x) over the interval 3, 5, find the expected value, the mean, the variance and the standard deviation. Expected value: Mean: Variance: Standard Deviation:

Q: Suppose a company's profits are given by P = x^2 y, where x is the amount of money they spend on TV…

A: given  P = x^2 y x+y=12

Q: (x-4)² The curve for f(x) = -- - 1 is shown in blue in the graph below. Drag the movable blue point,…

A: The given function is fx=-x-422-1.   The condition for the existence of the inverse of a function fx…

Q: Based on the graph what is the value of f (4)

A: Solution: The objective is to find the value of f(4) from the given graph

Q: What are the expressions simplified and are the functionsinverses?

A: We will show that, both f°h and h°f are identity maps on their respective domain. Then, we can claim…

Q: Find all inflection points of ?(?) = ?(? − 4)^(3).

A: points of inflection can be calculated by finding out double derivative of function and put it equal…

Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with…

A: Find the function by substituting the given arguments.

Q: 2 2(3)' Find: i=1

A:

Q: f(2) = 3(2^2) - 2 -2 equals 8, not 4.  That step has an error.  Would you kindly offer a correction?

A:

Q: Evaluate funct 1-3)- 3- 3 436 7

A: given the graph of the function.

Q: What is another method for combining functions?

A: The functions can be combined by method of composition. That is, Let f:A→B & g:B→C be two…

Q: Find the ain of the composite function f og. dom f(x) = 5x + 20; g(x) = x + 7 %3D

A:

Q: GIven the function fa)= (1t2x), compute f1). Round to nearest tenth.

A:

Q: i don't understand functions

A: Definition of a Function

Q: Which equation represents the inverse, f-4), of the function f(x)= 3x+1? I+ = (x)1-f O %3D Of (a) =…

A: An inverse of a function f maps from co domain to domain with respect to the function  f. The…

Q: Find the function f if it is known that f prime of x= 3x^2 +6x-7 and f(-1)=10.

A: Given: f'x = 3x2 + 6x - 7 and f-1 = 10 To find: fx

Q: how do i find Significantly low values

A: The range rule of thumb is µ±2σ and the values which fall outside this range is said to be…

Q: Not exactly sure if X=0 is the inflection point or if x=0 and x=4 are the inflection points. If x=0…

A: We have to find point of inflection

Q: 6 fy 2 -6 -4 -2 2 4 6. -2 -4 -6 4.

A:

Q: ∑5 (-2) ^ k -1 K=1

A: Given, ∑5-2k-1

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.